{"title":"Regularity properties of viscosity solutions for fully nonlinear equations on the model of the anisotropic p →-Laplacian","authors":"F. Demengel","doi":"10.3233/ASY-171433","DOIUrl":null,"url":null,"abstract":"This paper is devoted to some Lipschitz estimates between sub-and super-solutions of Fully Nonlinear equations on the model of the anisotropic ~ p-Laplacian. In particular we derive from the results enclosed that the continuous viscosity solutions for the equation ∑N 1 ∂i(∂iu| i∂iu) = f are Lipschitz continuous when supi pi < infi pi + 1, where ~ p = ∑ i piei.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"17 1","pages":"27-43"},"PeriodicalIF":0.0000,"publicationDate":"2017-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asymptot. Anal.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3233/ASY-171433","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
This paper is devoted to some Lipschitz estimates between sub-and super-solutions of Fully Nonlinear equations on the model of the anisotropic ~ p-Laplacian. In particular we derive from the results enclosed that the continuous viscosity solutions for the equation ∑N 1 ∂i(∂iu| i∂iu) = f are Lipschitz continuous when supi pi < infi pi + 1, where ~ p = ∑ i piei.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
